{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "480765be",
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.io import fits\n",
    "import HAWCtoHerschel as HtoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5477674",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source information\n",
    "SourceName = 'G47'\n",
    "FullName = 'G47.06+0.26'\n",
    "# Loading the fits files\n",
    "SourceT = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Tdust_10_10.fits')\n",
    "SourceN = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_N_10_10.fits')\n",
    "SourcePol = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Gal.fits')\n",
    "SourcePlanck = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Planck.fits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8fbf97a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot parameters\n",
    "ScaleLength = 0.0133246 # 0.0086812 # 1 pc in degrees for the target\n",
    "\n",
    "# Region location, width, and height\n",
    "l_center = 47.1415492 # Position in galactic longitude (degrees)\n",
    "b_center = 0.3020765 # Position in galactic latitude (degrees)\n",
    "l_width = 0.3541278 # Width in galactic longitude (degrees)\n",
    "b_height = 0.2206442 # Height in galactic latitude (degrees)\n",
    "Region = [l_center,b_center,l_width,b_height]\n",
    "\n",
    "# Intensity contours for the plot\n",
    "Icontours = [10, 20, 30, 40, 50, 60] # in mJy/arcsec^2\n",
    "# Ranges for plots\n",
    "Nscale = [0,1.5e+22] # Range for column density map in cm^-2\n",
    "Tscale = [15.0,25.0] # Range for temperature map in K\n",
    "Iscale = [0.0,20.0] # Range for intensity map in mJy/arcsec^2\n",
    "# Vector scaling fraction in polarization plots\n",
    "Pvscale = 0.6\n",
    "\n",
    "# Figure size\n",
    "MapFigSize = [10.67,6] # in inches\n",
    "\n",
    "# Effective HAWC+ beam size to use\n",
    "HAWCBeam = 0.00519 # 18.7'' in Band E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2a163b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beam Size of polarization data\n",
      "18.2\n",
      "Beam size of target pojection\n",
      "36.395999999999994\n",
      "Pixel size of the polarization data\n",
      "4.550000000000001\n",
      "Pixel size of the target projection\n",
      "14.0000004\n",
      "Target standard deviation for smoothing in arcseconds\n",
      "13.384761981071023\n",
      "Target standard deviation for smoothing in pixels\n",
      "2.941705929905719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: nan_treatment='interpolate', however, NaN values detected post convolution. A contiguous region of NaN values, larger than the kernel size, are present in the input array. Increase the kernel size to avoid this. [astropy.convolution.convolve]\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:96: RuntimeWarning: invalid value encountered in divide\n",
      "  dPI = ((StokesQ*dQ)**2.0 + (StokesU*dU)**2.0)**0.5/PI_biased\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:106: RuntimeWarning: invalid value encountered in divide\n",
      "  P_biased = 100.0*PI_biased/StokesI\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:109: RuntimeWarning: invalid value encountered in divide\n",
      "  dP = np.absolute(P_biased*((dPI/PI_biased)**2.0 + (dI/StokesI)**2.0)**0.5)\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:120: RuntimeWarning: invalid value encountered in divide\n",
      "  dO = (0.5*180.0/math.pi)*((StokesQ*dU)**2.0 +\n"
     ]
    }
   ],
   "source": [
    "# Reprojecting the HAWC+ Stokes data to the Herschel pixel scale\n",
    "NewPol = HtoH.ReprojectCube(SourcePol,SourceN, Smooth=True)\n",
    "#NewPol.writeto('test2.fits', overwrite=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31eb9087",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:228: RuntimeWarning: invalid value encountered in divide\n",
      "  imask_01 = np.where(Pdata[0].data/Pdata[1].data < IdI) # Total intensity SNR threshold\n"
     ]
    }
   ],
   "source": [
    "# Creating downsampled vector catalogs (independent vectors)\n",
    "# Creating the mask for the region\n",
    "DownsampleMask = HtoH.DownsampleVectors(NewPol,Step=2)\n",
    "# Creating the new catalogs for the region\n",
    "CatI, CatdI, CatQ, CatdQ, CatU, CatdU, CatP, CatdP, CatO, CatB,CatdO, CatPI, CatdPI, CatN, CatT = HtoH.MakePCats(SourceN, SourceT, SourcePol, NewPol, CatMask=DownsampleMask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c4fb0cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===\n",
      "Curve fit test\n",
      "Log scale fit: (-0.5867076444322237,18.030961789475743)\n",
      "Direct power law fit: (-0.651024958503217,21.881663534470892)\n",
      "===\n",
      "\n",
      "Power law index: -0.5867076444322237 ± 0.03691584508559391\n",
      "Coefficient: 18.030961789475743 ± 1.3098687650769338\n",
      "Chi-Squared: 466.0313339569342\n",
      "Number of elements: 233\n",
      "Reduced Chi-Squared: 2.01745166215123\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PvI_plot_Step2 = HtoH.PvI(CatP, CatdP, CatI, Iscale=[0.5,60.0], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59006181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power law index: -0.8360539658242391 ± 0.0608542117750544\n",
      "Coefficient: 9.712120215818228e+18 ± 2.9592177326028784e+19\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the column density\n",
    "PvN_plot_Step2 = HtoH.PvN(CatP, CatdP, CatN, Nscale=[0.8e+21,4e+22], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c49996f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the dust column density\n",
    "PvT_plot_Step2 = HtoH.PvT(CatP, CatT, Tscale=[15,26], Pscale=[0.0,30.0], CatdP=CatdP, errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "491d0620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Saving figures\n",
    "# PNG\n",
    "PvI_plot_Step2.savefig('Plots/'+SourceName+'_PvI_plot_Step2.png',dpi=300)\n",
    "PvN_plot_Step2.savefig('Plots/'+SourceName+'_PvN_plot_Step2.png',dpi=300)\n",
    "PvT_plot_Step2.savefig('Plots/'+SourceName+'_PvT_plot_Step2.png',dpi=300)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PoLiteWIP",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
